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Finding the Fourth Proportional to 935.43, 1,400.70 and 500.46

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Solution

The fourth proportional to 935.43, 1,400.70 and 500.46 is: 749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.43 : 1,400.70 = 500.46 : x
  2. Step 2: Convert to fraction form
    935.43/1,400.70 = 500.46/x
  3. Step 3: Cross multiply
    935.43x = 1,400.70 × 500.46
  4. Step 4: Simplify right side
    935.43x = 700,994.32
  5. Step 5: Solve for x
    x = 700,994.32/935.43
  6. Step 6: Final answer
    x = 749.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.